[外语类试卷]GRE(QUANTITATIVE)综合模拟试卷1及答案与解析.doc
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1、GRE( QUANTITATIVE)综合模拟试卷 1及答案与解析 0 7 In the figure above, what is the value of ? ( A) 2 ( B) 3 ( C) 4 ( D) 5 ( E) 6 8 A certain store sells two types of pens: one type for $2 per pen and the other type for $3 per pen. If a customer can spend up to $25 to buy pens at the store and there is no sales t
2、ax, what is the greatest number of pens the customer can buy? ( A) 9 ( B) 10 ( C) 11 ( D) 12 ( E) 20 9 If y = 3x and z = 2y, what is x + y + z in terms of x ? ( A) 10x ( B) 9x ( C) 8x ( D) 6x ( E) 5x 10 A certain shipping service charges an insurance fee of $0.75 when shipping any package with conte
3、nts worth $25.00 or less and an insurance fee of $1.00 when shipping any package with contents worth over $25.00. If Dan uses the shipping company to ship three packages with contents worth $18.25, $25.00, and $127.50, respectively, what is the total insurance fee that the company charges Dan to shi
4、p the three packages? ( A) 1.75 ( B) 2.25 ( C) 2.5 ( D) 2.75 ( E) 3 11 If 55 percent of the people who purchase a certain product are female, what is the ratio of the number of females who purchase the product to the number of males who purchase the product? ( A) 11 to 9 ( B) 10 to 9 ( C) 9 to 10 (
5、D) 9 to 11 ( E) 5 to 9 12 In the rectangular solid above, TU = 3, UV = 4, and VR = What is the area of the shaded rectangular region?_ 13 A list of numbers has a mean of 8 and a standard deviation of 2.If x is a number in the list that is 2 standard deviations above the mean, what is the value of x
6、? x=_ 14 The circle graph above shows the distribution of 200,000 physicians by specialty. Which of the following sectors of the circle graph represent more than 40,000 physicians?Indicate all such sectors. ( A) Pediatrics ( B) Internal Medicine ( C) Surgery ( D) Anesthesiology ( E) Psychiatry GRE(
7、QUANTITATIVE)综合模拟试卷 1答案与解析 1 【正确答案】 A 【试题解析】 In this question you are asked to compare the price at which Emma sold the bicycle with $140. From the information given, you can conclude that Emma spent a total of 75 + 27 = 102 dollars buying and repairing the bicycle and that she sold it for 40 percen
8、t more than the $102 she spent buying and repairing it. If you notice that 140 is 40 percent more than 100, you can conclude that 40 percent more than 102 is greater than 40 percent more than 100, and therefore, Quantity A is greater than Quantity B. The correct answer is Choice A.(If you solve the
9、problem in this way, you do not have to calculate the value of Quantity A.) Another way to solve the problem is by explicitly calculating the value of Quantity A and comparing the result with $140 directly. Since 40 percent of 102 is(0.4)(102)= 40.8, it follows that Quantity A, the price at which Em
10、ma sold the bicycle, is 102.00 + 40.80 = 142.80 dollars. Thus Quantity A, $142.80, is greater than Quantity B, $140, and the correct answer is Choice A. 2 【正确答案】 C 【试题解析】 In this question you are asked to compare the area of the shaded region with 36. You are given that both PQRV and VRST are square
11、s with sides of length 6. Therefore, you can conclude that the length of QS is 12, and the area of the shaded right triangle PQS is 1/2(12)(6), or 36. Thus Quantity A is equal to Quantity B, and the correct answer is Choice C. 3 【正确答案】 A 【试题解析】 Before making the comparison in this problem, you need
12、to analyze the information given to see what it tells you about the value of Quantity A, the property tax in 2009 on a home in Town X that had an assessed value of $160,000. One way of doing this is to determine the value of the constant p and then use that value to calculate the tax on the home tha
13、t had an assessed value of $160,000. Since it is given that a home that had an assessed value of $125,000 had a property tax of $2,500, you can conclude that p is equal to , or 2%. Once you know that the property tax is 2% of the assessed value, you can determine that tax on the home that had an ass
14、essed value of $160,000 was 2% of 160,000, or 3,200. The correct answer is Choice A. Another way to calculate the property tax on a home with an assessed value of $160,000 is by setting up a proportion. Because the tax rate is the same for each home in Town X, you can let the variable x represent th
15、e tax for the home assessed at $160,000 and solve for x as follows.The correct answer is Choice A. 4 【正确答案】 D 【试题解析】 One way to approach this question is to plug in values for one of the variables and determine the corresponding value for the other variable. One way to plug in: Plug in easy values.
16、For example, you can plug in x = 0 and find that the corresponding value of y is -1; then you can plug in y = 0 and find that the corresponding value of x is -1. Since in the first case x is greater than y and in the second case y is greater than x, the correct answer is Choice D, the relationship c
17、annot be determined from the information given. A second way to plug in: If you prefer to always plug in values of x to determine corresponding values of y, you can begin by writing the equation x +y = -1 asy = -x - 1. Writing it in this form makes it easier to find the corresponding values of y. Yo
18、u can start by plugging in the value x = 0. For this value of x, the corresponding value of y is y = -1, and therefore, x is greater than y. If you continue plugging in a variety of values of x, some negative and some positive, you will see that sometimes x is greater than y and sometimes y is great
19、er than x. If you inspect the equation y = x - 1, you can conclude that since there is a negative sign in front of the x but not in front of the y, for each value of x that is greater than 0, the corresponding value of y is less than 0; therefore, for each x 0, x is greater than y. What about negati
20、ve values of x? A quick inspection of the equation y = x - 1 allows you to conclude that if x 0, so y is greater than x. So for some values of x and y that satisfy the equation, x is greater than y; and for other values, y is greater than x. Therefore, the relationship between the two quantities x a
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